@article{c97c9246be604ad68875d369c696e9a7,

title = "On square-free values of large polynomials over the rational function field",

abstract = "We investigate the density of square-free values of polynomials with large coefficients over the rational function field q[t]. Some interesting questions answered as special cases of our results include the density of square-free polynomials in short intervals, and an asymptotic for the number of representations of a large polynomial N as a sum of a k-th power of a small polynomial and a square-free polynomial.",

keywords = "2010 Mathematics Subject Classification: 11N25 11N32 11N36 11R58 14H05",

author = "Carmon, {D. A.N.} and Alexei Entin",

note = "Publisher Copyright: {\textcopyright} 2019 Cambridge Philosophical Society.",

year = "2021",

month = mar,

doi = "10.1017/S0305004119000392",

language = "אנגלית",

volume = "170",

pages = "247--263",

journal = "Mathematical Proceedings of the Cambridge Philosophical Society",

issn = "0305-0041",

publisher = "Cambridge University Press",

number = "2",

}